Again, I can't see any reason of removing the word, "God" from this government document. The word "God," especially used by our government is very unspecified term, It could mean THE God, money, or even the individual himself.
"Acts 17:23: For as I passed along, and observed the objects of your worship, I found also an altar with this inscription, TO AN UNKNOWN GOD. What therefore ye worship in ignorance, this I set forth unto you. "
Christ is still the unknown God for many people in this country. If anything should be removed is the image of the Mohammad from the frieze on the Supreme Court building.